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Question: Design a pair of helical gears for transmitting 22 kW. The speed of the driver gear is 1800 r.p.m. and that of driven gear is 600 r.p.m. The helix angle is 30 degree and profile is corresponding to 20 degree full depth system. The driver gear has 24 teeth. Both the gears are made of cast steel with allowable static stress as 50 MPa. Assume the face width parallel to axis as 4 times the circular pitch and the overhang for each gear as 150 mm. The allowable shear stress for the shaft material may be taken as 50 MPa. The form factor may be taken as 0.154-0.912/TE, where TE is the equivalent number of teeth. The velocity factor may be taken as, 350/350+v Where v is pitch line velocity in m/min. The gears are required to be designed only against bending failure of the teeth under dynamic condition– Free Chegg Question Answer

Design a pair of helical gears for transmitting 22 kW. The speed of the driver gear is 1800 r.p.m. and that of driven gear is 600 r.p.m. The helix angle is 30 degree and profile is corresponding to 20 degree full depth system. The driver gear has 24 teeth. Both the gears are made of cast steel with allowable static stress as 50 MPa. Assume the face width parallel to axis as 4 times the circular pitch and the overhang for each gear as 150 mm. The allowable shear stress for the shaft material may be taken as 50 MPa. The form factor may be taken as 0.154-0.912/TE, where TE is the equivalent number of teeth. The velocity factor may be taken as, 350/350+v
Where v is pitch line velocity in m/min. The gears are required to be designed only against bending failure of the teeth under dynamic condition

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